Adiabatic Quantum Transistors

TL;DR

This paper introduces adiabatic quantum transistors, a modular, universal quantum computing model using many-body systems with symmetry-protected topological order, capable of efficient computation even with environmental noise.

Contribution

It presents a novel model of quantum computing based on adiabatic evolution in many-body systems with topological order, emphasizing modularity and noise resilience.

Findings

The model achieves universal quantum computation through adiabatic evolution.

Quantum information propagates across the device via a controlled adiabatic process.

The system maintains computational integrity in noisy environments.

Abstract

We describe a many-body quantum system which can be made to quantum compute by the adiabatic application of a large applied field to the system. Prior to the application of the field quantum information is localized on one boundary of the device, and after the application of the field this information has propagated to the other side of the device with a quantum circuit applied to the information. The applied circuit depends on the many-body Hamiltonian of the material, and the computation takes place in a degenerate ground space with symmetry-protected topological order. Such adiabatic quantum transistors are universal adiabatic quantum computing devices which have the added benefit of being modular. Here we describe this model, provide arguments for why it is an efficient model of quantum computing, and examine these many-body systems in the presence of a noisy environment.